Susan's uncle from Japan promised to give her 41 g of gold. The local jewelry exchange will buy gold for $1286 per ounce.

Answer:

4.2*10^7

Step-by-step explanation:

Khan Academy

The human heart beats approximately 4.2 ⋅ 10^7 times in one year.

To calculate the number of times the human heart beats in one year, we need to multiply the average number of beats per day by the number of days in a year. The average human heart beats 1.15 ⋅ 105 times per day, and there are 3.65 ⋅ 102 days in one year. So, the number of times the heart beats in one year is:

1.15 ⋅ 105 times/day ⋅ 3.65 ⋅ 102 days/year = 4.1975 ⋅ 107 times/year

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22.5

note that the difference (d ) between each term is

d = 9 - 4.5 = 13.5 - 9 = 18 - 13.5 = 4.5

to obtain the next term add 4.5

next term = 18 + 4.5 = 22.5

The next term in the pattern is 22.5.

To find the next term in the pattern, it's essential to identify the underlying rule or mathematical operation that governs the progression of the given numbers.

In this case, we can observe that the sequence is increasing by a consistent difference of 4.5 between each consecutive term.

Starting from 4.5 and adding 4.5 successively, we get:

4.5 + 4.5 = 9

9 + 4.5 = 13.5

13.5 + 4.5 = 18

The next term would be:

18 + 4.5 = 22.5

So, the next term in the pattern is 22.5.

In this sequence, each term is obtained by adding 4.5 to the previous term, resulting in an arithmetic progression.

If you continue this pattern, you will keep adding 4.5 to each subsequent term to find the following numbers in the sequence.

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Answer:its correct got a 100

Step-by-step explanation:

Answer:

The value of f(2)≈1.57

The time it takes an object to fall 2 feet is 1.57 seconds.

Step-by-step explanation:

Consider the provided function.

[tex]f(d) = 1.11\sqrt{d}[/tex]

It takes for an object to fall a distance, d, in feet,

We need to determine f(2).

Substitute the value d = 2 in the above function.

[tex]f(2) = 1.11\sqrt{2}[/tex]

[tex]f(2)\approx 1.57[/tex]

The value of f(2)≈1.57

The time it takes an object to fall 2 feet is 1.57 seconds.

First answer, this is because if you were to substitute the x and y variables which are the height and days the plant grew, then the 1st answer would be the answer

Answer:

12.68%

Step-by-step explanation:

To calculate effective annual interest rate we need to use the following formula:

[tex]i=(1+\frac{r}{m})^m-1[/tex]

Where, 'i' is the effective annual interest rate

'r' is the annual rate of interest

'm' is the frequency of compounding.

When there is continuous compounding the effective annual rate uses the following formula:

[tex]i=e^r-1[/tex]

In our case we would are assume that there is continuous compounding since no information regarding the frequency of compounding is given:  

Plugging r=12%=0.12, we get:

[tex]i=e^{0.12}-1[/tex]

[tex]i=1.1274-1=0.1274[/tex]

[tex]i=0.1274[/tex]

[tex]i=12.74\%[/tex]

Therefore, the effective annual interest rate is 12.74%.

Answer:

13.2

Step-by-step explanation:

The points A , B and R are coplanar  with point C and E , Option B is the correct answer.

Two points are called co planar when they lie on the same surface , for example all the points in a circle are co planar.

In the given figure The points A , B and R are co planar  with point C and E , C and E are not co planar with each other .

Therefore Option B is the correct answer.

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1. Consider right triangle ABK. The hypotenuse AB is 6 un. and the leg AK is 3 un. Since the leg is half of the hypotenuse, then the opposite to the leg angle is 30°. This means that m∠ABK=30°. Then m∠BAK=90°-30°=60°.

2. By the Pythagorean theorem,

[tex]AB^2=AK^2+BK^2,\\\\6^2=3^2+BK^2,\\\\BK^2=36-9,\\\\BK^2=27,\\\\BK=3\sqrt{3}\ un.[/tex]

3. Consider right triangle ABD. In this triangle AD is hypotenuse and m∠ADB=90°-m∠BAD=90°-60°=30°. Then the leg AB opposite to the angle 30° is half of the hypotenuse and AD=12 un.

4. The area of parallelogram is

[tex]A_{ABCD}=AD\cdot BK=12\cdot 3\sqrt{3}=36\sqrt{3}\ sq. un.[/tex]

Graph of f(x)=ln(x) is missing but we can still answer this problem.

We just have to explain about what will happen if f(x)=ln(x) changes into g(x)=1/3 ln(x)

To find that compare both functions.

We see that ln(x) gets multiplied by 1/3 to produce graph of 1/3ln(x)

there multiplifaction factor 1/3 lies between 0 and 1.

Hence graph of f(x) will compress vertically by factor of 1/3 to produce graph of g(x).

So for the final answer we will write f(x) compress vertically by factor of 1/3 to produce graph of g(x)=1/3 ln(x)

You can check attached file for more related rules

Answer:

compress vertically by factor of 1/3 to produce graph of g(x)=1/3 ln(x)

Step-by-step explanation:

ANSWER

[tex]-\frac{2}{3}(2x-\frac{1}{2})\le \frac{1}{5}x-1[/tex]

Multiply through by LCM of 15

[tex](15) \times -\frac{2}{3}(2x-\frac{1}{2})\le 15(\frac{1}{5}x-1)[/tex]

[tex] -10(2x-\frac{1}{2})\le 3x-15[/tex]

Expand brackets to obtain,

[tex] -20x+5\le 3x-15[/tex]

Group like terms

[tex] 15+5\le 20x+3x[/tex]

[tex] 20\le 23x[/tex]

[tex] \frac{20}{23}\le x[/tex]

[tex]x\ge \frac{20}{23}[/tex]

In interval form it is written as

[tex] [\frac{20}{23}, \infty)[/tex]

The correct solution to the inequality is x ≥ 20/23, written in interval notation as: [20/23, +Infinity).

In this mathematical inequality problem, your steps are correct until you get to -2/3(2x - 1/2) ≤ 1/5x - 1. Thereafter, however, your proceedings seem to be erroneous. Let's correct the steps:

So the solution to the inequality is x ≥ 20/23, which in interval notation would be written as: [20/23, +Infinity).

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Answer:

The answer is (1,6) so its either A or C since they both have (1,6)

Step-by-step explanation:

I think the answer is both A and C since there the same so the answer is 1,6

Answer: The mouse can travel 2.045 miles .

Step-by-step explanation:

Speed of mouse = 2.0 feet per second.

Time traveled by mouse = 1.5 hours = 1.5 × 3600 seconds [ as 1 hour = 3600 seconds]

Distance traveled by mouse in 1.5 hours = speed × time

= 2.0 × 1.5 × 3600 = 10800 feet.

We know that

1 mile = 5280 feet

then 1 foot = 1/5280 miles

Distance in miles = [tex]10800\times \frac{1}{5280} miles=2.045miles[/tex]

Given

A mouse scurries across your kitchen floor at 2.0 feet per second.

Find out the mouse travel in 1.5 hours.

To proof

FORMULA

Distance = speed × time

[tex]1foot = \frac{1}{5280} miles[/tex]

Convert feet per second into miles per second

[tex]= \frac{2.0}{5280}[/tex]

As given in the question

Time = 1.5 hours

1 hours = 3600 second

Time convert in the second

Time = 1.5 × 3600 second

       = 5400 second

put all these value in the above formula

we get

[tex]Distance= \frac{2.0\times 1.5 \times 3600}{5280}[/tex]

[tex]Distance= \frac{10800}{5280}[/tex]

= 2.04 (approx) miles

= 2.0 miles

Hence proved

Answer: Upper right corner

=========================================================

How I got that answer:

The line y = x goes through (0,0) and (1,1). You would normally extend this line out as far as you can in both directions. However, the inequality x < -1 says you can only graph this if x is less than -1. We will not graph any part of the graph that is beyond x = -1 to the right. So we only have a small piece of it. The left piece of y = x. There is an open hole at the endpoint.

Similarly, y = -x is only graphed if x >= -1. We have a closed endpoint here. This graph goes through (0,0) and (1,-1). We erase the portion that is to the left of x = -1.

Doing all this leads to the upper right corner choice as our answer. The bottom right corner is close to the answer, but the open and closed endpoints are in the wrong spots.

the answer should be {-2+4i,-2-4i}

Answer:

{-1-2i, -1-2i}

Step-by-step explanation:

Circumference varies directly with radius means:

[tex]\frac{C}{r} = k[/tex]

[tex]\frac{9.42}{1.5} = k[/tex]

6.28 = k

So, the new equation is:

[tex]\frac{C}{r} = 6.28[/tex]

[tex]\frac{C}{9} = 6.28[/tex]

[tex](9)\frac{C}{9} = (9)6.28[/tex]

C = 56.52

****************************************

paycheck varies directly with hours means:

[tex]\frac{P}{h} = k[/tex]

[tex]\frac{52.50}{6} = k[/tex]

8.75 = k

So, the new equation is:

[tex]\frac{P}{h} = 8.75[/tex]

[tex]\frac{P}{11} = 8.75[/tex]

[tex](11)\frac{P}{11} = (11)8.75[/tex]

P = $96.25

Answer:

Perimeter of triangle = 71.72 unit.

Area of triangle = 149.44 unit²

Explanation:

 Distance between (a,b) and (c,d) = [tex]\sqrt{(c-a)^2+(d-b)^2}[/tex].

 So we have  SB = [tex]\sqrt{(-2-15)^2+(21-(-8))^2}=\sqrt{1130} =33.62[/tex]unit

                       BA = [tex]\sqrt{(0-(-2))^2+(0-21^2)}=\sqrt{445} =21.10[/tex]unit

                       AS = [tex]\sqrt{(15-0)^2+(-8-0)}=\sqrt{289} =17[/tex]unit

 So perimeter of triangle = 33.62 + 21.10 + 17 = 71.72 unit.

  We have SB = Base = 33.62 unit and Perpendicular height = 8.89 units.

  Area = 0.5 x Base x Perpendicular height.

           = 0.5 x 33.62 x 8.89 = 149.44 unit²

The perimeter of the triangle SBA is approximately 66.91 units and the area is approximately 131.06 square units.

To find the perimeter of triangle SBA, we need to find the lengths of the three sides first. We can use the distance formula to calculate the length of each side. Using the coordinates of S(15,-8), B(-2,21), and A(0,0), we find that SB ≈ 29.47 units, BA ≈ 18.19 units, and AS ≈ 19.25 units. The perimeter is the sum of these three lengths, which is approximately 66.91 units.

To find the area of triangle SBA, we can use the formula: area = 1/2 * base * height. The base is the length of SB, which is approximately 29.47 units, and the height is given as 8.89 units. Plugging these values into the formula, we get the area ≈ 131.06 square units.

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The answer you are looking for is e= -2

The equation 9e - 7 = 7e - 11 simplifies to e = -2.

To solve the equation 9e - 7 = 7e - 11, follow these steps:

Thus, the value of e is -2.

((V/π)(3/4))1/3 = R so I would say possibly the second one

[tex](0,\ 2);\ \left(\dfrac{\pi}{2},\ 0\right);\ (\pi,\ -2);\ \left(\dfrac{3\pi}{2},\ 0\right);\ (2\pi,\ 2);\ \left(\dfrac{5\pi}{2},\ 0\right);\ (3\pi,\ -2)\\\\\text{Look at the picture}\\\\Answer:\ \boxed{y=2\cos(x)}[/tex]

You would use PEMDAS to solve this:

0.8 x 1.5 = 1.2

4 + 1.2 - 3

5.2 - 3

2.2 is your answer

Answer:

the answer is 2.2

The answer would be translitive because if a=b and b=c then a

Is equal to c

That’s why the answer is translitive

Have you learned about translitive

If yo haven’t then the other answer would be the zero product

the answer is,

-2, 4, -8, 16, -32, 64

The value of money that you save increases over time is the right answer

Answer:

The required answer is shown below:

Step-by-step explanation:

Consider the provided equation.

   Statement                   Reason

1. [tex]5(x+6)=x+38[/tex]    Given

2. [tex]\bold{5x+30=x+38}[/tex]    Distributive property

3. [tex]5x+30-30=x+38-30[/tex]    Subtraction property of equality

4. [tex]\bold{5x=x+8}[/tex]         Simplifying

5. [tex]\bold{5x-x=x+8-x}[/tex]         Subtraction property of equality

6. [tex]\bold{4x=8}[/tex]            Simplifying

7. [tex]\frac{4x}{4}=\frac{8}{4}[/tex]            Division property of equality

8. [tex]x=2[/tex]            Simplifying

Hence the required answer is shown above.

This is all i could come up with

The strongest classification for quadrilateral ABCD is that it is a parallelogram because its opposite sides are parallel.

To determine the classification of quadrilateral ABCD, we need to examine its properties and compare them to the defining traits of different types of quadrilaterals. One of the most effective ways to do this is by calculating the slopes of its sides and the lengths of its sides and diagonals.

Slopes of Sides:

We first find the slopes of each side of the quadrilateral using the coordinates of its vertices.

Slope of AB: (5 - 2) / (3 - 1) = 3/2

Slope of BC: (3 - 5) / (5 - 3) = -1

Slope of CD: (1 - 3) / (2 - 5) = 2/3

Slope of DA: (2 - 1) / (1 - 2) = -1

Lengths of Sides and Diagonals:

Next, we compute the lengths of the sides and diagonals using the distance formula.

Length of AB: √((3 - 1)² + (5 - 2)²) = √(2² + 3²) = √13

Length of BC: √((5 - 3)² + (3 - 5)²) = √(2² + 2²) = 2√2

Length of CD: √((2 - 5)² + (1 - 3)²) = √((-3)² + (-2)²) = √13

Length of DA: √((1 - 1)² + (2 - 1)²) = √(0² + 1²) = 1

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Answer:

There are two discontinuities, one in the point (-2,2) and another on (-1,3).

Step-by-step explanation:

The discontinuity in (-2,2) is referred to as a removable discontinuity because this point is defined elsewhere.

The discontinuity in (-1,3) is called a jump discontinuity because it seems to "jump" from one point and continue at another.

The two dollar bills are not similar because the ratios of their corresponding dimensions are not the same.

To determine if the two dollar bills are similar, we need to check if the ratios of the corresponding dimensions are the same.

The dimensions of the current dollar bill are 6.125 inches by 3.375 inches. The dimensions of the older dollar bill are 7.3125 inches by 3.125 inches.

Since the ratios (1.8148 and 2.3400) are not equal, the two dollar bills are not similar.

Answer:

  43.6°, 46.4°

Step-by-step explanation:

Let x represent the smaller angle. Then the complementary angle is (90°-x). The problem statement tells us the relation is ...

  x = (90°-x) -2.8°

  2x = 87.2° . . . . . add x, collect terms

  x = 43.6° . . . . . . divide by 2

Then the complementary angle is ...

  90°-x = 46.4°

The measures of the angles are 43.6° and 46.4°.